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<a href="#nested-classes">Classes</a> &#124;
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<p>A matrix whose elements a expressions.  
 <a href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix_1_1_entry.html">Entry</a></td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:ace25d6cd9256e96b7e5f3fe2de27f211"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#ace25d6cd9256e96b7e5f3fe2de27f211">Matrix</a> (int numRows, int numCols)</td></tr>
<tr class="memdesc:ace25d6cd9256e96b7e5f3fe2de27f211"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructs a new expression matrix.  <a href="#ace25d6cd9256e96b7e5f3fe2de27f211">More...</a><br/></td></tr>
<tr class="separator:ace25d6cd9256e96b7e5f3fe2de27f211"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6043de098b7c81de0a0c117d2892cb65"><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#a6043de098b7c81de0a0c117d2892cb65">GetSubRange</a> (int row0, int col0, int numRows, int numCols)</td></tr>
<tr class="memdesc:a6043de098b7c81de0a0c117d2892cb65"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns a sub-matrix.  <a href="#a6043de098b7c81de0a0c117d2892cb65">More...</a><br/></td></tr>
<tr class="separator:a6043de098b7c81de0a0c117d2892cb65"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab702170fbfe412b20a2fa25e07c7e4b4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#ab702170fbfe412b20a2fa25e07c7e4b4">KillRowCol</a> (int killRow, int killCol)</td></tr>
<tr class="memdesc:ab702170fbfe412b20a2fa25e07c7e4b4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the sub-matrix that originates from removing a certain row and a certain column.  <a href="#ab702170fbfe412b20a2fa25e07c7e4b4">More...</a><br/></td></tr>
<tr class="separator:ab702170fbfe412b20a2fa25e07c7e4b4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa4ebc9774f95fcbc8a99c15c8340c06c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#aa4ebc9774f95fcbc8a99c15c8340c06c">ReplaceCol</a> (int col, <a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a> b)</td></tr>
<tr class="memdesc:aa4ebc9774f95fcbc8a99c15c8340c06c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the matrix that one gets by replacing a certain column with the specified vector.  <a href="#aa4ebc9774f95fcbc8a99c15c8340c06c">More...</a><br/></td></tr>
<tr class="separator:aa4ebc9774f95fcbc8a99c15c8340c06c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3895ffb380d8632e2581d858be0f8417"><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#a3895ffb380d8632e2581d858be0f8417">SolveByCramer</a> (<a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a> b)</td></tr>
<tr class="memdesc:a3895ffb380d8632e2581d858be0f8417"><td class="mdescLeft">&#160;</td><td class="mdescRight">Solves the equation system "this" * x == b symbolically, using Cramer's rule.  <a href="#a3895ffb380d8632e2581d858be0f8417">More...</a><br/></td></tr>
<tr class="separator:a3895ffb380d8632e2581d858be0f8417"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8183e0d235729651e5783621777f4578"><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#a8183e0d235729651e5783621777f4578">ComputeLU</a> (int veilThreshold, CreateVariableFn createVariable, out List&lt; <a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_store_statement.html">StoreStatement</a> &gt; tempStmts)</td></tr>
<tr class="memdesc:a8183e0d235729651e5783621777f4578"><td class="mdescLeft">&#160;</td><td class="mdescRight">Solves the equation system "this" * x == b symbolically, using LU decomposition.  <a href="#a8183e0d235729651e5783621777f4578">More...</a><br/></td></tr>
<tr class="separator:a8183e0d235729651e5783621777f4578"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af6f97703e9000286b60dbe4fcc0f9768"><td class="memItemLeft" align="right" valign="top">List&lt; <a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_store_statement.html">StoreStatement</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#af6f97703e9000286b60dbe4fcc0f9768">ComputeLUAndSolve</a> (<a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_variable.html">Variable</a>[] unknowns, <a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_expression.html">Expression</a>[] residual, CreateVariableFn createVariable, int veilThreshold, out List&lt; <a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_variable.html">Variable</a> &gt; tempVars)</td></tr>
<tr class="memdesc:af6f97703e9000286b60dbe4fcc0f9768"><td class="mdescLeft">&#160;</td><td class="mdescRight">Solves the equation system "this" * x == b symbolically, using LU decomposition, and returns a list of variable assignments which solve the specfied equation system.  <a href="#af6f97703e9000286b60dbe4fcc0f9768">More...</a><br/></td></tr>
<tr class="separator:af6f97703e9000286b60dbe4fcc0f9768"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4f34660a9ea39b01b6dcf53286c1fb84"><td class="memItemLeft" align="right" valign="top">override string&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#a4f34660a9ea39b01b6dcf53286c1fb84">ToString</a> ()</td></tr>
<tr class="separator:a4f34660a9ea39b01b6dcf53286c1fb84"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
Static Public Member Functions</h2></td></tr>
<tr class="memitem:a74954dd34bcb2981916a472046a7bb35"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#a74954dd34bcb2981916a472046a7bb35">GetZeroes</a> (int rows, int cols)</td></tr>
<tr class="memdesc:a74954dd34bcb2981916a472046a7bb35"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns a matrix filled with zeroes as elements.  <a href="#a74954dd34bcb2981916a472046a7bb35">More...</a><br/></td></tr>
<tr class="separator:a74954dd34bcb2981916a472046a7bb35"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8c0c3b759a45ec92091031e6258348c5"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#a8c0c3b759a45ec92091031e6258348c5">GetZeroes</a> (int dim)</td></tr>
<tr class="memdesc:a8c0c3b759a45ec92091031e6258348c5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns a symmetric matrix filled with ones as elements.  <a href="#a8c0c3b759a45ec92091031e6258348c5">More...</a><br/></td></tr>
<tr class="separator:a8c0c3b759a45ec92091031e6258348c5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab1f10f5088ade52ec17d0bc3a8d77294"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#ab1f10f5088ade52ec17d0bc3a8d77294">GetUnity</a> (int dim)</td></tr>
<tr class="memdesc:ab1f10f5088ade52ec17d0bc3a8d77294"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns a unit matrix.  <a href="#ab1f10f5088ade52ec17d0bc3a8d77294">More...</a><br/></td></tr>
<tr class="separator:ab1f10f5088ade52ec17d0bc3a8d77294"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ace35050465ffa9f3935785eb73b7190f"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#ace35050465ffa9f3935785eb73b7190f">RowVector</a> (<a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_expression.html">Expression</a>[] ev)</td></tr>
<tr class="memdesc:ace35050465ffa9f3935785eb73b7190f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts an array of expressions to a row vector.  <a href="#ace35050465ffa9f3935785eb73b7190f">More...</a><br/></td></tr>
<tr class="separator:ace35050465ffa9f3935785eb73b7190f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae1d38bbc2715e5db4effd2cde1711d85"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#ae1d38bbc2715e5db4effd2cde1711d85">operator-</a> (<a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a> m)</td></tr>
<tr class="memdesc:ae1d38bbc2715e5db4effd2cde1711d85"><td class="mdescLeft">&#160;</td><td class="mdescRight">Flips the sign of each matrix element.  <a href="#ae1d38bbc2715e5db4effd2cde1711d85">More...</a><br/></td></tr>
<tr class="separator:ae1d38bbc2715e5db4effd2cde1711d85"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="properties"></a>
Properties</h2></td></tr>
<tr class="memitem:adcc7e7b3773f17486a9f9334f5906acc"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#adcc7e7b3773f17486a9f9334f5906acc">NumRows</a><code> [get, set]</code></td></tr>
<tr class="memdesc:adcc7e7b3773f17486a9f9334f5906acc"><td class="mdescLeft">&#160;</td><td class="mdescRight">The number of matrix rows  <a href="#adcc7e7b3773f17486a9f9334f5906acc">More...</a><br/></td></tr>
<tr class="separator:adcc7e7b3773f17486a9f9334f5906acc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a45eb5ddda4f5fe9231dcfe7f3475a3e3"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#a45eb5ddda4f5fe9231dcfe7f3475a3e3">NumCols</a><code> [get, set]</code></td></tr>
<tr class="memdesc:a45eb5ddda4f5fe9231dcfe7f3475a3e3"><td class="mdescLeft">&#160;</td><td class="mdescRight">The number of matrix columns  <a href="#a45eb5ddda4f5fe9231dcfe7f3475a3e3">More...</a><br/></td></tr>
<tr class="separator:a45eb5ddda4f5fe9231dcfe7f3475a3e3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a78beb87dd80b503ff7b2b9459eb50b2f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_expression.html">Expression</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#a78beb87dd80b503ff7b2b9459eb50b2f">this[int row, int col]</a><code> [get, set]</code></td></tr>
<tr class="memdesc:a78beb87dd80b503ff7b2b9459eb50b2f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Gets or sets a matrix element.  <a href="#a78beb87dd80b503ff7b2b9459eb50b2f">More...</a><br/></td></tr>
<tr class="separator:a78beb87dd80b503ff7b2b9459eb50b2f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a23fd645ab758d7b752b8bcee8e1d4a26"><td class="memItemLeft" align="right" valign="top">IEnumerable&lt; <a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix_1_1_entry.html">Entry</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#a23fd645ab758d7b752b8bcee8e1d4a26">Elements</a><code> [get]</code></td></tr>
<tr class="memdesc:a23fd645ab758d7b752b8bcee8e1d4a26"><td class="mdescLeft">&#160;</td><td class="mdescRight">Enumerates all matrix elements.  <a href="#a23fd645ab758d7b752b8bcee8e1d4a26">More...</a><br/></td></tr>
<tr class="separator:a23fd645ab758d7b752b8bcee8e1d4a26"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a68b948bd630f8a383ecbbce704e39429"><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_expression.html">Expression</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html#a68b948bd630f8a383ecbbce704e39429">Det</a><code> [get]</code></td></tr>
<tr class="memdesc:a68b948bd630f8a383ecbbce704e39429"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the symbolic determinant of this matrix.  <a href="#a68b948bd630f8a383ecbbce704e39429">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>A matrix whose elements a expressions. </p>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l03760">3760</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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          <td>(</td>
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          <td class="paramname"><em>numRows</em>, </td>
        </tr>
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          <td class="paramkey"></td>
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          <td class="paramname"><em>numCols</em>&#160;</td>
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          <td></td>
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<p>Constructs a new expression matrix. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">numRows</td><td>number of rows</td></tr>
    <tr><td class="paramname">numCols</td><td>number of columns</td></tr>
  </table>
  </dd>
</dl>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l03819">3819</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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<h2 class="groupheader">Member Function Documentation</h2>
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          <td class="memname"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a> SystemSharp.SysDOM.Matrix.ComputeLU </td>
          <td>(</td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>veilThreshold</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">CreateVariableFn&#160;</td>
          <td class="paramname"><em>createVariable</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">out List&lt; <a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_store_statement.html">StoreStatement</a> &gt;&#160;</td>
          <td class="paramname"><em>tempStmts</em>&#160;</td>
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<p>Solves the equation system "this" * x == b symbolically, using LU decomposition. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">veilThreshold</td><td>threshold value for expression veiling, in order to avoid overly large expressions</td></tr>
    <tr><td class="paramname">createVariable</td><td>variable creation function</td></tr>
    <tr><td class="paramname">tempStmts</td><td>out parameter to receive the temporary assignments from veiling</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>x</dd></dl>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l04061">4061</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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          <td class="memname">List&lt;<a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_store_statement.html">StoreStatement</a>&gt; SystemSharp.SysDOM.Matrix.ComputeLUAndSolve </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_variable.html">Variable</a>[]&#160;</td>
          <td class="paramname"><em>unknowns</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_expression.html">Expression</a>[]&#160;</td>
          <td class="paramname"><em>residual</em>, </td>
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          <td class="paramtype">CreateVariableFn&#160;</td>
          <td class="paramname"><em>createVariable</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>veilThreshold</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">out List&lt; <a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_variable.html">Variable</a> &gt;&#160;</td>
          <td class="paramname"><em>tempVars</em>&#160;</td>
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<p>Solves the equation system "this" * x == b symbolically, using LU decomposition, and returns a list of variable assignments which solve the specfied equation system. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">unknowns</td><td>variables that represent "x"</td></tr>
    <tr><td class="paramname">residual</td><td>right side of equation</td></tr>
    <tr><td class="paramname">createVariable</td><td>variable creation function</td></tr>
    <tr><td class="paramname">veilThreshold</td><td>threshold value for expression veiling, in order to avoid overly large expressions</td></tr>
    <tr><td class="paramname">tempVars</td><td>out parameter to receive all created temporary variable</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>list of assignments to solve the specified system</dd></dl>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l04126">4126</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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          <td class="memname"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a> SystemSharp.SysDOM.Matrix.GetSubRange </td>
          <td>(</td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>row0</em>, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>col0</em>, </td>
        </tr>
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          <td class="paramname"><em>numRows</em>, </td>
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          <td class="paramname"><em>numCols</em>&#160;</td>
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<p>Returns a sub-matrix. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">row0</td><td>start row</td></tr>
    <tr><td class="paramname">col0</td><td>start column</td></tr>
    <tr><td class="paramname">numRows</td><td>height of sub-matrix</td></tr>
    <tr><td class="paramname">numCols</td><td>width of sub-matrix</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the specified sub-matrix</dd></dl>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l03884">3884</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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<p>Returns a unit matrix. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">dim</td><td>dimension</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the unit matrix of specified dimension</dd></dl>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l04246">4246</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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          <td>(</td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>rows</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
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          <td class="paramname"><em>cols</em>&#160;</td>
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<p>Returns a matrix filled with zeroes as elements. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">rows</td><td>number of rows</td></tr>
    <tr><td class="paramname">cols</td><td>number of columns</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the zero matrix</dd></dl>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l04226">4226</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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          <td>(</td>
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<p>Returns a symmetric matrix filled with ones as elements. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">dim</td><td>dimension</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the zero matrix</dd></dl>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l04236">4236</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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          <td class="memname"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a> SystemSharp.SysDOM.Matrix.KillRowCol </td>
          <td>(</td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>killRow</em>, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
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          <td class="paramname"><em>killCol</em>&#160;</td>
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          <td></td>
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<p>Returns the sub-matrix that originates from removing a certain row and a certain column. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">killRow</td><td>row to remove</td></tr>
    <tr><td class="paramname">killCol</td><td>column to remove</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>specified sub-matrix</dd></dl>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l03904">3904</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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          <td>(</td>
          <td class="paramtype"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a>&#160;</td>
          <td class="paramname"><em>m</em></td><td>)</td>
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<p>Flips the sign of each matrix element. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">m</td><td>matrix to negate</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the negated matrix</dd></dl>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l04274">4274</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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          <td class="memname"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a> SystemSharp.SysDOM.Matrix.ReplaceCol </td>
          <td>(</td>
          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>col</em>, </td>
        </tr>
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          <td class="paramkey"></td>
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          <td class="paramtype"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a>&#160;</td>
          <td class="paramname"><em>b</em>&#160;</td>
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<p>Computes the matrix that one gets by replacing a certain column with the specified vector. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">col</td><td>column to replace</td></tr>
    <tr><td class="paramname">b</td><td>replacement vector</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the matrix with replaced column</dd></dl>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l04013">4013</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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          <td class="memname">static <a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a> SystemSharp.SysDOM.Matrix.RowVector </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_expression.html">Expression</a>[]&#160;</td>
          <td class="paramname"><em>ev</em></td><td>)</td>
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<p>Converts an array of expressions to a row vector. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">ev</td><td>array of expressions</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the row vector</dd></dl>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l04261">4261</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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          <td class="memname"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a> SystemSharp.SysDOM.Matrix.SolveByCramer </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_matrix.html">Matrix</a>&#160;</td>
          <td class="paramname"><em>b</em></td><td>)</td>
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<p>Solves the equation system "this" * x == b symbolically, using Cramer's rule. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">b</td><td>right side</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>x</dd></dl>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l04039">4039</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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          <td class="memname">override string SystemSharp.SysDOM.Matrix.ToString </td>
          <td>(</td>
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<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l04187">4187</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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<h2 class="groupheader">Property Documentation</h2>
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          <td class="memname"><a class="el" href="class_system_sharp_1_1_sys_d_o_m_1_1_expression.html">Expression</a> SystemSharp.SysDOM.Matrix.Det</td>
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<p>Returns the symbolic determinant of this matrix. </p>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l03926">3926</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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<p>Enumerates all matrix elements. </p>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l03866">3866</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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<p>The number of matrix columns </p>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l03833">3833</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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<p>The number of matrix rows </p>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l03828">3828</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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<p>Gets or sets a matrix element. </p>
<dl class="params"><dt>Parameters</dt><dd>
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    <tr><td class="paramname">row</td><td>row</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>the matrix element at specified row/column pair</dd></dl>

<p>Definition at line <a class="el" href="_core_algebraic_8cs_source.html#l03844">3844</a> of file <a class="el" href="_core_algebraic_8cs_source.html">CoreAlgebraic.cs</a>.</p>

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